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Large‐time behaviour of solutions to non‐linear wave equations: higher‐order asymptotics
Author(s) -
Karch Grzegorz
Publication year - 1999
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(199912)22:18<1671::aid-mma98>3.0.co;2-q
Subject(s) - mathematics , burgers' equation , order (exchange) , mathematical analysis , cauchy problem , initial value problem , asymptotic expansion , partial differential equation , finance , economics
The Cauchy problems for the Korteweg–de Vries–Burgers equation and the Benjamin–Bona– Mahony–Burgers equation are studied. Using subtle estimates of solutions to the linearized equations, the higher‐order terms of the asymptotic expansion as $t\rightarrow\infty$ of solutions are derived. Copyright © 1999 John Wiley & Sons, Ltd.